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11 Aug 2023, 06:00
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D
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The harmonic mean of n numbers is the reciprocal of the arithmetic mean of their reciprocals. What is the harmonic mean of 2, 4, 6, and 12 ?
A. 1/6
B. 1/4
C. 1
D. 4
E. 6
A. 1/6
B. 1/4
C. 1
D. 4
E. 6
11 Aug 2023, 06:09
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Bunuel
The harmonic mean of n numbers is the reciprocal of the arithmetic mean of their reciprocals. What is the harmonic mean of 2, 4, 6, and 12 ?
A. 1/6
B. 1/4
C. 1
D. 4
E. 6
A. 1/6
B. 1/4
C. 1
D. 4
E. 6
Arithmetic Mean of \((\frac{1}{2}, \frac{1}{4}, \frac{1}{6}, \frac{1}{12})\)
The LCM of the denominator = 12
Mean = Sum / Number of terms
Sum = \(\frac{6 + 3 + 2 + 1 }{ 12} = \frac{12}{12} = 1\)
Average = \(\frac{1}{4}\)
Harmonic Mean = 1/(1/4) = 4
Option D
General Discussion
11 Aug 2023, 10:57
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4?
4/ .5 +.25 + 0.167 + 0.083 =4
4/ 1/2+1/4+1/6+1/12
I’m not sure if this is correct… needs verification
Posted from my mobile device
4/ .5 +.25 + 0.167 + 0.083 =4
4/ 1/2+1/4+1/6+1/12
I’m not sure if this is correct… needs verification
Posted from my mobile device
